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antoniya [11.8K]
3 years ago
7

A box 3 centimeter high, 4 centimeters wide, and 6 centimeters long can hold 50 grams of clay. A second box has twice the height

, 3 times the width and the same length as the first box. How many grams of clay can it hold? Show your work.
Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0
-------------------------------------------------------------------------------
First Box:
 -------------------------------------------------------------------------------
Volume of teh box = 3 x 4 x 6 = 72 cm³

-------------------------------------------------------------------------------
Clay per cm³
-------------------------------------------------------------------------------
72cm³ = 50g of clay.
1 cm³ = 25/36g of clay.

-------------------------------------------------------------------------------
Second box :
-------------------------------------------------------------------------------
Length = 6cm
Width = 3 x 4 = 12cm
Height = 3 x 2 = 6m

Volume = 6 x 12 x 6 = 432 cm³

-------------------------------------------------------------------------------
Find Volume of clay :
-------------------------------------------------------------------------------
1 cm³ = 25/36 g
432 cm³ = 25/36 x 432 = 300g

-------------------------------------------------------------------------------
Answer: 300g of clay
-------------------------------------------------------------------------------
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What is the input-output table for the function f(x) = 3x^2-x+4
mojhsa [17]

Answer:

Step-by-step explanation:

The input-output table can be made by putting value of x and finding the value of f(x)

f(x) = 3x^2-x+4

f(0) = 3(0)^2-0+4 = 0-0+4 = 4

f(1) = 3(1)^2-1+4 = 3-1+4 = 2+4 =6

f(2) = 3(2)^2-2+4 = 3(4)-2+4 = 12-2+4 = 10+4 = 14

f(3) = 3(3)^2-3+4 = 3(9)-3+4 = 27-3+4 = 24+4 = 28

So put value of x and find f(x) and fill the input-output table.

x  f(x)

0   4

1    6

2   14

3    28

3 0
3 years ago
Give the equation of the line that passes through the points (4,6) and (-2,3)
Nutka1998 [239]

Answer:

y = 1/2x+4

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

    = (3-6)/(-2-4)

    = -3/-6

   =1/2

The equation of a line in slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

y =1/2x+b

Substitute one of the point into the equation

6 = 1/2(4) +b

6 = 2+b

b=4

y = 1/2x+4

3 0
3 years ago
Read 2 more answers
Find the inequality represented by the graph
xeze [42]

Answer:

88

Step-by-step explanation:

3 0
3 years ago
In a random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand. C
horrorfan [7]

Answer:

<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>

(0.5603,0.6529)

Step-by-step explanation:

<em>Step(i)</em>:-

<em>Given sample size 'n' =300</em>

Given data  random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.

<em>Given sample proportion </em>

<em>                        </em>p^{-}  = \frac{x}{n} = \frac{182}{300} =0.606

level of significance = 90% or 0.10

Z₀.₁₀ = 1.645

<em>90% confidence interval for the proportion is determined by</em>

(p^{-} - Z_{0.10}\sqrt{\frac{p(1-p)}{n} }  , p^{-} +Z_{0.10}\sqrt{\frac{p(1-p)}{n} })

(0.6066 - 1.645\sqrt{\frac{0.6066(1-0.6066)}{300} }  ,0.6066+1.645\sqrt{\frac{0.6066(1-0.6066)}{300} })

(0.6066 -  0.0463  ,0.6066 +  0.0463)

(0.5603,0.6529)

<u>final answer</u>:-

<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>

(0.5603,0.6529)

5 0
3 years ago
What is the area of a trapezoid? 47,45,65
Masteriza [31]
Area = 2,520m^2
(47+65)/2 = 56
56x45 = 2,520
8 0
2 years ago
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